{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2024-12-24T12:03:23.736068Z",
     "start_time": "2024-12-24T12:03:16.634566Z"
    }
   },
   "source": [
    "%matplotlib inline\n",
    "import random\n",
    "import torch\n",
    "from d2l import torch as d2l"
   ],
   "outputs": [],
   "execution_count": 1
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-12-24T13:39:28.836888Z",
     "start_time": "2024-12-24T13:39:28.812833Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def produce_data(w, b, n):\n",
    "    \"\"\"生成 y = Xw + b + 噪声 的样本\"\"\"\n",
    "    X = torch.normal(0, 1, (n, len(w)))\n",
    "    y = torch.matmul(X, w) + b\n",
    "    y += torch.normal(0, 0.01, y.shape)\n",
    "    return X, y.reshape((-1, 1))\n",
    "\n",
    "true_w = torch.tensor([2.0, -3.4])\n",
    "true_b = 4.2\n",
    "features, labels = produce_data(true_w,true_b,1000)"
   ],
   "id": "a094084591f83f09",
   "outputs": [],
   "execution_count": 2
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-12-24T13:39:50.134486Z",
     "start_time": "2024-12-24T13:39:50.122489Z"
    }
   },
   "cell_type": "code",
   "source": [
    "print('features:', features[0])\n",
    "print('labels:', labels[0])"
   ],
   "id": "24ad1ffba3d9eab1",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "features: tensor([-1.3407, -0.1091])\n",
      "labels: tensor([1.9029])\n"
     ]
    }
   ],
   "execution_count": 4
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-12-24T13:41:14.287808Z",
     "start_time": "2024-12-24T13:41:14.105029Z"
    }
   },
   "cell_type": "code",
   "source": [
    "d2l.set_figsize()\n",
    "d2l.plt.scatter(features[:, 1].detach().numpy(),\n",
    "                labels.detach().numpy(),\n",
    "                1)"
   ],
   "id": "9697aa50cb338857",
   "outputs": [
    {
     "data": {
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     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
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